Ctg²t·(cos²t-1)+1=ctg²t·(-(1-cos²t))+1=ctg²t·(-sin²t)+1=(cos²t/sin²t)·(-sin²t)+1=
=-cos²t+1=sin²t
ОДЗ
{2x-1>0⇒2x>1⇒x>0,5
{2x-1≠1⇒2x≠2⇒x≠1
{3,5x²-2,5x>0⇒2,5x(x-1,4)>0⇒x<0 U x>1,4
x∈(1,4;∞)
3,5x²-2,5x=(2x-1)²
3,5x²-2,5x-4x²+4x-1=0
-0,5x²+1,5x-1=0
x²-3x+2=0
x1+x2=3 u x1*x2=2
x1=1 ек удов усл
х2=2
1) (0,5x^2)^2
2) (7a^3)^2
3) (2mn^2)^2
4) (0,2a^3b^2)^2
<span>task/28177870
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Найти производную функции
1 . y=(x+9)</span>⁴<span>/ (x-3) 2. y=x*sin(3x-π/2)
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</span>1.
* * * ( u / v) ' =( u ' *v - u *v ' ) / v² * * *
y ' = ((x+9)⁴/ (x-3) ) ' = (4(x+9)³ (x-3) - (x+9)⁴ *1) / (x-3)² .
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2.
* * * (uv) ' = u ' *v + u*v ' ; sin(3x-π/2)= - sin(π/2 - 3x) = - cos3x * * *
y ' ( x*sin(3x-π/2)' = (- x* cos3x ) ' = - ( x* cos3x ) ' =
- ( 1*cos3x +x*(-sin3x)*(3x) ' ) = 3sin3x - cos3x .